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引用次数: 4

摘要

我们考虑一个由两个厚度为2 ×的壳层组成的多结构,它们的中间表面为%plane1D;49E;3,在它们的部分边界上胶合在一起。我们假设在它们相交的每一点上,中间曲面都有不同的切平面。我们对结合部和施加的体力密度作了假设,并确定了多结构的尺度三维位移场的极限,当ε→0时,特别表明极限位移场不依赖于横向变量,是不扩展的,并且在变形过程中两个壳之间的角度保持不变。
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Analyse asymptotique des jonctions de coques en flexion

We consider a multi-structure made of two shells of thickness 2ɛ, having a middle surface of class %plane1D;49E;3 glued together on a part of their boundaries. We suppose that at every point of their intersection, the middle surfaces have distinct tangent planes. We make an assumption on the junction and on the applied body force density, and we identify the limit, when ɛ → 0, of the scaled three-dimensional displacement field for the multi-structure, showing in particular that the limit displacement field does not depend on the transverse variable, is inextensional, and that the angle between the two shells remains the same during the deformation.

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